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"Eurisko was exposing the fact that any finite set of rules is going to be a very incomplete approximation of reality," Lenat explained.
In a computer game, by contrast, AI works fine, because it is an artificial world, created according to a finite set of rules.
Chess is a closed and perfect world with a clearly-defined and finite set of rules — the opposite of life, and, for those who become devoted to it, a substitute for life, for exactly that reason.
"As is true of all human languages, the language of coupledom is governed by a finite set of rules that determine what can be verbalized and how," she writes in a section titled "Couple Linguistics 101".
Following Chomsky's idea that humans are innately programmed to produce language according to a fixed and finite set of rules, Everett studied for a doctorate in the 80s and took advice from Chomsky.
Its devices are called P systems and they perform computations by applying a finite set of rules in a synchronous, maximally parallel way.
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Whereas the design of typelogical grammars follows a logical agenda (sequent calculus, soundness, completeness, etc), grammars in the CCG tradition are presented as finite sets of rules for type change and type combination.
terminal) symbols (I and T are disjoint), S ∈ I is a distinguished intermediate symbol called axiom, R ⊂ I × (I ∪ T * is a finite set of production rules and W : R → ℝ+ is a mapping such that each rule f ∈ R is equipped with a weight w f : = W(f).
Language, a particularly powerful tool for thought and learning, which allows us to construct an infinite number of meaningful sentences from a finite corpus of words and a finite set of syntactical rules.
For recall that it is a characteristic feature of numerals that they may be generated from certain initial symbols by the application of a finite set of syntactic formation rules – e.g. the unary numerals are generated by applying the formation rule \(\sigma \mapsto \sigma'\) to the initial symbol \(0\).
In particular, the Peano axioms enable an infinite set to be generated by a finite set of symbols and rules.
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finite set of norms
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